{
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    "# 第四周作业\n",
    "\n",
    "#### 问题描述\n",
    "根据活动的关键词（count_1, count_2, ..., count_100，count_other属性）做聚类，可采用KMeans聚类 \n",
    "尝试K=10，20，30，..., 100, 并计算各自CH_scores。 \n",
    "\n",
    "#### 文件说明： \n",
    "1. 可以先运行0. EDA.ipynb，看一下竞赛所有数据的情况； \n",
    "2. 总体活动的数目太多（300w+记录），可以只需对训练集train.csv和测试集test.cv出现的活动（13418条记录）举行聚类即可。运行1. Users_Events.ipynb可得到只在训练集train.csv和测试集test.cv出现的活动，可自己修改代码存为csv格式，在进行聚类。 \n",
    "\n",
    "#### 批改标准\n",
    "1. 抽取出只在训练集和测试集中出现的event：20分 \n",
    "2. 聚类 ：40分 \n",
    "3. CH_scores计算：20分 \n",
    "4. 结果显示/分析：20分"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 抽取出只在训练集和测试集中出现的event"
   ]
  },
  {
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   "metadata": {
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     "text": [
      "number of uniqueEvents :13418\n",
      "Write event id:  684921758 , Remaining:  13417\n",
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     ]
    }
   ],
   "source": [
    "# 统计训练集和测试集中有多少event\n",
    "uniqueEvents = set()\n",
    "\n",
    "for filename in [\"train.csv\", \"test.csv\"]:\n",
    "    f = open(filename, 'rb')\n",
    "\n",
    "    # 忽略第一行（列名字）\n",
    "    f.readline().strip().split(b',')\n",
    "\n",
    "    for line in f:  # 对每条记录\n",
    "        cols = line.strip().split(b',')\n",
    "        uniqueEvents.add(cols[1])  # 第二列为活动ID\n",
    "    f.close()\n",
    "\n",
    "n_uniqueEvents = len(uniqueEvents)\n",
    "\n",
    "print(\"number of uniqueEvents :%d\" % n_uniqueEvents)\n",
    "\n",
    "# 从event.csv中读取用到的event写入一个新的文件\n",
    "fo = open('events.csv', 'rb')\n",
    "# 追加模式打开文件，不存在则创建新文件\n",
    "fp = open('usefulEvents.csv', 'ab')\n",
    "\n",
    "# 写入标题\n",
    "titles = fo.readline()\n",
    "fp.write(titles)\n",
    "\n",
    "for line in fo:\n",
    "    event_no = line.strip().split(b',')[0]\n",
    "    if event_no in uniqueEvents:\n",
    "        fp.write(line)\n",
    "        uniqueEvents.remove(event_no)\n",
    "        print('Write event id: ', str(event_no, encoding='UTF-8'), ', Remaining: ', len(uniqueEvents))\n",
    "\n",
    "fp.close()\n",
    "fo.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 数据处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入基本工具\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 参数设置\n",
    "# 参数设置\n",
    "params = {'legend.fontsize': 'x-large',\n",
    "          'figure.figsize': (30, 10),\n",
    "          'axes.labelsize': 'x-large',\n",
    "          'axes.titlesize':'x-large',\n",
    "          'xtick.labelsize':'x-large',\n",
    "          'ytick.labelsize':'x-large'}\n",
    "\n",
    "plt.rcParams.update(params)\n",
    "pd.options.display.max_colwidth = 600"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 13418 entries, 0 to 13417\n",
      "Columns: 110 entries, event_id to c_other\n",
      "dtypes: float64(2), int64(103), object(5)\n",
      "memory usage: 11.3+ MB\n"
     ]
    }
   ],
   "source": [
    "# 读取数据\n",
    "data = pd.read_csv('usefulEvents.csv')\n",
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <td>NaN</td>\n",
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       "      <td>12</td>\n",
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       "      <td>781585781</td>\n",
       "      <td>2012-10-30T00:00:00.001Z</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>8</td>\n",
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       "      <td>2012-09-27T00:00:00.001Z</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>0</td>\n",
       "      <td>9</td>\n",
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       "<p>5 rows × 110 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     event_id     user_id                start_time city state  zip country  \\\n",
       "0   684921758  3647864012  2012-10-31T00:00:00.001Z  NaN   NaN  NaN     NaN   \n",
       "1   244999119  3476440521  2012-11-03T00:00:00.001Z  NaN   NaN  NaN     NaN   \n",
       "2  3928440935   517514445  2012-11-05T00:00:00.001Z  NaN   NaN  NaN     NaN   \n",
       "3  2582345152   781585781  2012-10-30T00:00:00.001Z  NaN   NaN  NaN     NaN   \n",
       "4  1051165850  1016098580  2012-09-27T00:00:00.001Z  NaN   NaN  NaN     NaN   \n",
       "\n",
       "   lat  lng  c_1   ...     c_92  c_93  c_94  c_95  c_96  c_97  c_98  c_99  \\\n",
       "0  NaN  NaN    2   ...        0     1     0     0     0     0     0     0   \n",
       "1  NaN  NaN    2   ...        0     0     0     0     0     0     0     0   \n",
       "2  NaN  NaN    0   ...        0     0     0     0     0     0     0     0   \n",
       "3  NaN  NaN    1   ...        0     0     0     0     0     0     0     0   \n",
       "4  NaN  NaN    1   ...        0     0     0     0     0     0     0     0   \n",
       "\n",
       "   c_100  c_other  \n",
       "0      0        9  \n",
       "1      0        7  \n",
       "2      0       12  \n",
       "3      0        8  \n",
       "4      0        9  \n",
       "\n",
       "[5 rows x 110 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到city, state, zip, contry, lat, lng这些字段缺失值很多，但理论上来讲这些字段应该跟事件分类无关，另外event_id, user_id, start_time也与聚类任务无关，抛弃这些特征。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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       "      <th>0</th>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 101 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   c_1  c_2  c_3  c_4  c_5  c_6  c_7  c_8  c_9  c_10   ...     c_92  c_93  \\\n",
       "0    2    0    2    0    0    0    0    0    0     0   ...        0     1   \n",
       "1    2    0    2    0    0    0    0    0    0     0   ...        0     0   \n",
       "2    0    0    0    0    0    0    0    0    0     0   ...        0     0   \n",
       "3    1    0    2    1    0    0    0    0    0     0   ...        0     0   \n",
       "4    1    1    0    0    0    0    0    2    0     0   ...        0     0   \n",
       "\n",
       "   c_94  c_95  c_96  c_97  c_98  c_99  c_100  c_other  \n",
       "0     0     0     0     0     0     0      0        9  \n",
       "1     0     0     0     0     0     0      0        7  \n",
       "2     0     0     0     0     0     0      0       12  \n",
       "3     0     0     0     0     0     0      0        8  \n",
       "4     0     0     0     0     0     0      0        9  \n",
       "\n",
       "[5 rows x 101 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = data.drop(['event_id', 'user_id', 'start_time', 'city', 'state', 'zip', 'country', 'lat', 'lng'], axis=1)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 尝试进行聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 样本数较多 使用MiniBatchKMeans进行聚类\n",
    "from sklearn.cluster import MiniBatchKMeans\n",
    "\n",
    "# 聚类评价函数\n",
    "from sklearn.metrics import calinski_harabaz_score, silhouette_score\n",
    "\n",
    "# 聚类函数 供后面调用  针对每个k分别计算轮廓系数和CH分数\n",
    "def cluster_analysis(clusters):\n",
    "    # 用来存储CH分数\n",
    "    ch_scores = []\n",
    "    # 用来存储轮廓指数\n",
    "    sh_scores = []\n",
    "    for n in n_clusters:\n",
    "        mbk = MiniBatchKMeans(n_clusters=n, n_init=10, random_state=10)\n",
    "        mbk.fit(data)\n",
    "        \n",
    "        ch_score = calinski_harabaz_score(data, mbk.predict(data))\n",
    "        sh_score = silhouette_score(data, mbk.predict(data))\n",
    "       \n",
    "        ch_scores.append(ch_score)\n",
    "        sh_scores.append(sh_score)\n",
    "\n",
    "        print('n_Cluster: ', n, ' CH score: ', ch_score, ' SH score: ', sh_score)\n",
    "        \n",
    "    return ch_scores, sh_scores"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 尝试K=10，20，30，..., 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n_Cluster:  10  CH score:  1048.2336988531356  SH score:  0.37849073782392023\n",
      "n_Cluster:  20  CH score:  610.9884662286577  SH score:  0.24778699622295042\n",
      "n_Cluster:  30  CH score:  362.1988123551355  SH score:  0.20136497609210638\n",
      "n_Cluster:  40  CH score:  297.00134561127396  SH score:  0.1557684619596099\n",
      "n_Cluster:  50  CH score:  220.53990652420177  SH score:  0.13244145144012595\n",
      "n_Cluster:  60  CH score:  170.5250492398587  SH score:  0.13690008608822507\n",
      "n_Cluster:  70  CH score:  148.19803884090575  SH score:  0.07755920160519716\n",
      "n_Cluster:  80  CH score:  155.3116608819279  SH score:  0.09187421394123436\n",
      "n_Cluster:  90  CH score:  118.00576740679575  SH score:  0.0844523126198804\n",
      "n_Cluster:  100  CH score:  99.85763207762564  SH score:  0.05226637362174353\n"
     ]
    }
   ],
   "source": [
    "n_clusters = [10, 20, 30, 40, 50, 60, 70, 80, 90, 100]\n",
    "ch_scores, sh_scores = cluster_analysis(n_clusters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "n_Cluster和CH score的关系图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'ch_score')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(n_clusters, np.array(ch_scores), 'b-')\n",
    "plt.xlabel('n_Cluster')\n",
    "plt.ylabel('ch_score')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "n_Cluster和轮廓系数的关系图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'sh_score')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(n_clusters, np.array(sh_scores), 'b-')\n",
    "plt.xlabel('n_Cluster')\n",
    "plt.ylabel('sh_score')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "很明显类别越多聚类效果越差，而且在最佳的情况下聚类效果也不好，那么我们在尝试一下更少量的k值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n_Cluster:  2  CH score:  3368.4359243229947  SH score:  0.6832864932145112\n",
      "n_Cluster:  3  CH score:  2669.563395578741  SH score:  0.5705855183675874\n",
      "n_Cluster:  4  CH score:  2498.1636157795356  SH score:  0.5694424745100456\n",
      "n_Cluster:  5  CH score:  2060.8819017223077  SH score:  0.5264546698148467\n",
      "n_Cluster:  6  CH score:  1712.2751241917035  SH score:  0.5036430187797077\n",
      "n_Cluster:  7  CH score:  1448.6468174395552  SH score:  0.4777437127165913\n",
      "n_Cluster:  8  CH score:  1312.1135539318725  SH score:  0.44713594243746674\n",
      "n_Cluster:  9  CH score:  1153.7136273700992  SH score:  0.41577283643083995\n",
      "n_Cluster:  10  CH score:  1048.2336988531356  SH score:  0.37849073782392023\n"
     ]
    }
   ],
   "source": [
    "n_clusters = [2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
    "ch_scores, sh_scores = cluster_analysis(n_clusters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "n_Cluster和CH score的关系图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'ch_score')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(n_clusters, np.array(ch_scores), 'b-')\n",
    "plt.xlabel('n_Cluster')\n",
    "plt.ylabel('ch_score')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "n_Cluster和轮廓系数的关系图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'sh_score')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(n_clusters, np.array(sh_scores), 'b-')\n",
    "plt.xlabel('n_Cluster')\n",
    "plt.ylabel('sh_score')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "当k取2时，聚类效果修好，轮廓系数达到了0.68，比k取10时高出很多，可见events数据集大体可以分为两类数据。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 结束语"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "本人还尝试了对数据进行标准化，归一化，降维，然后结果都不理想，此处就不在多表。特征工程对聚类的影响是以后学习的一个重点。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 AI",
   "language": "python",
   "name": "python3 ai"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
